Corpus ID: 2504611

Fundamentals of Computing

@article{Levin2020FundamentalsOC,
  title={Fundamentals of Computing},
  author={Leonid A. Levin},
  journal={ArXiv},
  year={2020},
  volume={abs/2005.06436}
}
  • L. Levin
  • Published 2020
  • Computer Science
  • ArXiv
were systematically ignored. Concrete computational problems were considered only as illustrations of general principles. The notes (prepared by the students and revised by me) are skeletal: they do have (terse) proofs, but exercises, references, intuitive comments and examples are missing or inadequate. The better is English in a paragraph the smaller was my contribution and the greater caution is needed. The notes can be used by an instructor designing a course or by students who either know… Expand
1 Citations
Searching of all Occurences of a Word in a String
This paper presents a string search algorithm. The method searches to find all occurences of a word p of m characters in a string s of n characters, 0<m≤ n. The upper bound of the number ofExpand

References

SHOWING 1-10 OF 167 REFERENCES
An Introduction to Kolmogorov Complexity and Its Applications
  • Ming Li, P. Vitányi
  • Computer Science, Psychology
  • Texts and Monographs in Computer Science
  • 1993
TLDR
The book presents a thorough treatment of the central ideas and their applications of Kolmogorov complexity with a wide range of illustrative applications, and will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. Expand
A Machine-Independent Theory of the Complexity of Recursive Functions
TLDR
The number of steps required to compute a function depends on the type of computer that is used, on the choice of computer program, and on the input-output code, but the results obtained in this paper are nearly independent of these considerations. Expand
Average-case Complexity
  • L. Trevisan
  • Computer Science
  • 2008 49th Annual IEEE Symposium on Foundations of Computer Science
  • 2008
TLDR
The many open questions and the few things that are known about the average-case complexity of computational problems are reviewed, and a theory of completeness for distributional problems under reductions that preserveaverage-case tractability is initiated. Expand
Algorithms and Complexity
  • H. Wilf
  • Mathematics, Computer Science
  • Lecture Notes in Computer Science
  • 1997
TLDR
A computation that is guaranteed to take at most cn3 time for input of size n will be thought of as an ‘easy’ computation, and one that needs at most n10 time is also easy. Expand
A Survey of Russian Approaches to Perebor (Brute-Force Searches) Algorithms
TLDR
This paper is a personal account of some events, ideas, and academic controversies that surrounded the discovery and investigation of non-deterministic polynomial (NP)-complete problems independently by S. Cook and R. Karp in the United States and L. Levin in the Soviet Union. Expand
The NP-completeness column
TLDR
This is the 24th edition of a column that covers new developments in the theory of NP-completeness and the history and purpose of the column and the status of the open problems from [G&J] and previous columns. Expand
An Introduction To Probability Theory And Its Applications
TLDR
A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics. Expand
Storage Modification Machines
TLDR
This paper gives a complete description of the SMM model and its real time equivalence to the so-called successor RAMS and shows the existence of an SMM that performs integer-multiplication in linear time. Expand
N by N Checkers is Exptime Complete
  • J. Robson
  • Mathematics, Computer Science
  • SIAM J. Comput.
  • 1984
TLDR
The question of whether a particular player can force a win from a given position and also the question of what is the best move in agiven position are considered. Expand
Theory of Recursive Functions and Effective Computability
If searching for the ebook by Hartley Rogers Theory of Recursive Functions and Effective Computability in pdf format, then you've come to the faithful site. We presented the complete version of thisExpand
...
1
2
3
4
5
...